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Finding the Third Proportional to 2,923.17 and 6,461.58

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Solution

The third proportional to 2,923.17 and 6,461.58 is: 14,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.17 : 6,461.58 = 6,461.58 : x
  2. Step 2: Convert to fraction form
    2,923.17/6,461.58 = 6,461.58/x
  3. Step 3: Cross multiply
    2,923.17x = 6,461.58 × 6,461.58
  4. Step 4: Simplify right side
    2,923.17x = 41,751,991.87
  5. Step 5: Solve for x
    x = 41,751,991.87/2,923.17
  6. Step 6: Final answer
    x = 14,283.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.